Problem 1

Evaluate the following integral.

a)  y = x³ + 0.5x²
b)  y = 125
c)  y = -122.5
d)  y =112.5

Problem 2

Determine the maximum of the function y = 3x² - 4x + 9.

a)  + Q  
b)  2/3
c)  function has no maximum
d)  7.666

Problem 3

A car weighing 15 kN is traveling at 100 kmph as shown in the figure below. What is its kinetic energy?

a)      590 kJ
b)   1,170 kJ
c)   6,684 kJ
d)        18 kJ

Problem 4

A block weighing W, is at rest on an incline as shown in the figure below. What is the static friction force F, acting on the block? (Note, m is the coefficient of friction)

a)  F =  Wcosa  
b)  F =  Wtana  
c)  F =  Wsina  
d)  F =  mN    

Problem 5

In the x-y coordinate system shown below, what is the distance between the points having coordinates (7, - 3) and (10, 27)?

a)  30.15
b)  26.89
c)  34.48
d)  33.00

Problem 6

A  2.5 cm diameter by 25 cm long steel rod is shown in the figure below. When the rod is placed under a tension force of 110 kN, it elongates by 0.025 cm. What is the strain in the rod?

a)  0.020
b)  0.001
c)  0.010
d)  0.005

Problem 7

A mass of 10 kg exerts which one of the following forces at sea level?

a)  98.07 kN
b)  98.07 N
c)  44.48 N
d)  44.48 kN

Problem 8

One gram-mole of an ideal gas at standard temperature and pressure occupies which one of the following volumes?

a)  22.4 liters 
b)  1 liter
c)  357 ft³  
d)  1 ft³ 

Problem 9

Relative to electrical circuits, Kirchhoff's Law states: 

a)  The electrical potential equals zero at any point in a closed loop.
b)  Current flow in equals current flow out at any point in a closed system.
c)  Inductance is inversely proportional to the frequency.
d)  Electrical potential equals current flow times resistance.

Problem 10

How much energy does it take to heat 1 kg of water from 33 deg F to 34 deg F?

a)  0.556 J/sec
b)  1.000 btu
c)  1.000 kcal
d)  0.556 kcal

Submit Your Answers For Grading When Finished.